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Exponential stability of switched systems with impulsive effect

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Abstract

The exponential stability of a class of switched systems containing stable and unstable subsystems with impulsive effect is analyzed by using the matrix measure concept and the average dwell-time approach. It is shown that if appropriately a large amount of the average dwell-time and the ratio of the total activation time of the subsystems with negative matrix measure to the total activation time of the subsystems with nonnegative matrix measure is chosen, the exponential stability of a desired degree is guaranteed.Using the proposed switching scheme, we studied the robust exponential stability for a class of switched systems with impulsive effect and structure perturbations. Simulations validate the main results.

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Authors and Affiliations

  1. Research Institute of Automation, Qufu Normal University, 273165, Qufu Shandong, China

    Guangdeng Zong & Yuqiang Wu

  2. Research Institute of Automation, Southeast University, 210096, Nanjing Jiangsu, China

    Guangdeng Zong

Authors
  1. Guangdeng Zong
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  2. Yuqiang Wu
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Additional information

The work was supported by the National Natural Science Foundation of China (No. 60174042,60304003,60474050) and the Natural Science Foundation of Shandong Province (No. Q2003G02).

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Zong, G., Wu, Y. Exponential stability of switched systems with impulsive effect. J. Control Theory Appl. 3, 60–66 (2005). https://doi.org/10.1007/s11768-005-0062-x

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  • DOI: https://doi.org/10.1007/s11768-005-0062-x

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